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Finding the Third Proportional to 114,938 and 179,393

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Solution

The third proportional to 114,938 and 179,393 is: 279,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,938 : 179,393 = 179,393 : x
  2. Step 2: Convert to fraction form
    114,938/179,393 = 179,393/x
  3. Step 3: Cross multiply
    114,938x = 179,393 × 179,393
  4. Step 4: Simplify right side
    114,938x = 32,181,848,449
  5. Step 5: Solve for x
    x = 32,181,848,449/114,938
  6. Step 6: Final answer
    x = 279,993.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.